Question

find the sum of all multiples of 3 lie between 200and 500​

Answer 1

Answer:

200 =3×66 +2, and 500 = 3×166 +2, and hence expectedly there are 166–66 =100 multiples of 3 between 200 and 500. Similarly 200 = (12×16)+8 and 500 = (12×41)+8, and so there are 41 -16 =25 multiples of 12 between 200 and 500, each of which also happens to be multiples of 3 also. Hence there are exactly 100 -25 = 75 numbers between 200 and 500 which are multiples of 3, but are not multiples of 12.

Step-by-step explanation:

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